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Abstract We consider the Hausdorff dimension of planar Besicovitch sets for rectifiable sets Γ, that is, sets that contain a rotated copy of Γ in each direction. We show that for a large class of Cantor sets C and Cantor‐graphs Γ built on C , the Hausdorff dimension of any Γ‐Besicovitch set must be at least , where .
Altaf et al. (Thu,) studied this question.
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